exercise:636f7b1aab: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Alter the program ''' MonteCarlo''' to estimate the area of the circle of radius 1/2 with center at <math>(1/2,1/2)</math> inside the unit square by choosing 1000 points at random. Compare your results with the true value of <math>\pi/4</math>....") |
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Alter the program ''' MonteCarlo''' to estimate the area of the circle of radius 1/2 with center at <math>(1/2,1/2)</math> inside the unit square by | |||
circle of radius 1/2 with center at <math>(1/2,1/2)</math> inside the unit square by | |||
choosing 1000 points at random. Compare your results with the true value of | choosing 1000 points at random. Compare your results with the true value of | ||
<math>\pi/4</math>. Use your results to estimate the value of <math>\pi</math>. How accurate is | <math>\pi/4</math>. Use your results to estimate the value of <math>\pi</math>. How accurate is | ||
your estimate? | your estimate? | ||
Latest revision as of 22:22, 12 June 2024
Alter the program MonteCarlo to estimate the area of the circle of radius 1/2 with center at [math](1/2,1/2)[/math] inside the unit square by choosing 1000 points at random. Compare your results with the true value of [math]\pi/4[/math]. Use your results to estimate the value of [math]\pi[/math]. How accurate is your estimate?